Nonlinear convection in reaction-diffusion equations under dynamical boundary conditions

We study the blow-up phenomena for positive solutions of nonlinear reaction-diffusion equations including a nonlinear convection term $partial_t u = Delta u - g(u) cdot abla u + f(u)$ in a bounded domain of $mathbb{R}^N$ under the dissipative dynamical boundary conditions $sigma partial_t u + pa...

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Bibliographic Details
Main Authors: Gaelle Pincet Mailly, Jean-Francois Rault
Format: Article
Language:English
Published: Texas State University 2013-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/10/abstr.html